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Some remarks on Lagrangian and Poisson reduction for field theories

Authors :
Castrillón López, Marco
Marsden, Jerrold E.
Castrillón López, Marco
Marsden, Jerrold E.
Publication Year :
2023

Abstract

Given a Hamiltonian system on a fiber bundle, the Poisson covariant formulation of the Hamilton equations is described. When the fiber bundle is a G-principal bundle and the Hamiltonian density is G-invariant, the reduction of this formulation is studied thus obtaining the analog of the Lie-Poisson reduction for field theories. The relation of this reduction with the Lagrangian reduction and the Lagrangian and Poisson reduction for electromagnetism are also analyzed.<br />NSF<br />Max Planck<br />DGESIC<br />Junta Castilla-Léon<br />Depto. de Álgebra, Geometría y Topología<br />Fac. de Ciencias Matemáticas<br />TRUE<br />pub

Details

Database :
OAIster
Notes :
application/pdf, 0393-0440, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1413947136
Document Type :
Electronic Resource